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131311133303300 = 22529919419140677
BaseRepresentation
bin11101110110110101000001…
…011101001010001000000100
3122012221012222122122010222122
4131312311001131022020010
5114202400200111201200
61143135300222545112
736441626202665306
oct3566650135121004
9565835878563878
10131311133303300
1138926814525a25
1212888b88a38198
1358367820ab152
14245d6c81d7976
15102aa85ae0385
hex776d4174a204

131311133303300 has 72 divisors (see below), whose sum is σ = 285265002704640. Its totient is φ = 52465508092800.

The previous prime is 131311133303279. The next prime is 131311133303309. The reversal of 131311133303300 is 3303331113131.

It is a happy number.

It is a super-2 number, since 2×1313111333033002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131311133303300.

It is not an unprimeable number, because it can be changed into a prime (131311133303309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933352562 + ... + 933493238.

Almost surely, 2131311133303300 is an apocalyptic number.

131311133303300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311133303300 is an abundant number, since it is smaller than the sum of its proper divisors (153953869401340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131311133303300 is a wasteful number, since it uses less digits than its factorization.

131311133303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151101 (or 151094 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 131311133303300 its reverse (3303331113131), we get a palindrome (134614464416431).

The spelling of 131311133303300 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty-three million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 991 1982 3964 4955 9419 9910 18838 19820 24775 37676 47095 49550 94190 99100 140677 188380 235475 281354 470950 562708 703385 941900 1406770 2813540 3516925 7033850 9334229 14067700 18668458 37336916 46671145 93342290 139410907 186684580 233355725 278821814 466711450 557643628 697054535 933422900 1325036663 1394109070 2650073326 2788218140 3485272675 5300146652 6625183315 6970545350 13250366630 13941090700 26500733260 33125916575 66251833150 132503666300 1313111333033 2626222666066 5252445332132 6565556665165 13131113330330 26262226660660 32827783325825 65655566651650 131311133303300